Name: Bohr-Sommerfeld quantization of b-symplectic toric manifolds
Keywords: contact geometry, T-modules, Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria, Classificació AMS::53 Differential geometry::53D Symplectic geometry, Bohr-Sommerfeld, Symplectic geometry, Geometria simplèctica, :53 Differential geometry::53D Symplectic geometry, contact geometry [Classificació AMS], Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry, toric

descriptionPublicationkeyboard_double_arrow_right Report 01 Jan 2022 English

Authors: Miranda Galcerán, Eva; Mir Garcia, Pau; Weitsman, Jonathan;

handle: 2117/371509

Bohr-Sommerfeld quantization of b-symplectic toric manifolds

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Abstract

We define the Bohr-Sommerfeld quantization via T-modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given by a signed count of the integral points in the moment polytope of the toric action on the manifold.

Finançat pel projecte ICREA ACADEMIA 2016-05 i ICREA ACADEMIA 2021

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contact geometry, T-modules, Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria, Classificació AMS::53 Differential geometry::53D Symplectic geometry, Bohr-Sommerfeld, Symplectic geometry, Geometria simplèctica, :53 Differential geometry::53D Symplectic geometry, contact geometry [Classificació AMS], Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry, toric, :Matemàtiques i estadística::Geometria [Àrees temàtiques de la UPC]

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